Theorems · Theorem · number theory
NumberField.InfinitePlace.LiesOver.comap_eq
∀ {K : Type u_4} {L : Type u_5} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
(w : NumberField.InfinitePlace L) (v : NumberField.InfinitePlace K) [w.LiesOver v], w.comap (algebraMap K L) = v- Cited by
- 9 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement and proof · cited by 4,706
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.comapstatement and proof · cited by 55
- NumberField.InfinitePlace.LiesOverstatement and proof · cited by 25
- AbsoluteValue.LiesOver.comp_eqproof · cited by 4
- NumberField.InfinitePlace.extproof · cited by 3
- AbsoluteValue.ext_iffproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.IsRamified.finrank_eq_twoproof · cited by 3
- NumberField.InfinitePlace.LiesOver.isComplex_of_isComplex_underproof · cited by 2
- NumberField.InfinitePlace.LiesOver.embedding_liesOver_of_isRealproof · cited by 1
- NumberField.InfinitePlace.LiesOver.isometry_algebraMapproof · cited by 1
- NumberField.InfinitePlace.LiesOver.mk_embedding_compproof · cited by 1
- NumberField.InfinitePlace.liesOver_embedding_of_mem_ramifiedPlacesOverproof · cited by 1
- NumberField.InfinitePlace.IsUnramified.liesOver_isReal_overproof · cited by 1
- NumberField.InfinitePlace.IsRamified.liesOver_isReal_underproof · cited by 0